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205738493 is a prime number
BaseRepresentation
bin11000100001101…
…01000111111101
3112100010121011012
430100311013331
5410132112433
632225405005
75045514452
oct1420650775
9470117135
10205738493
11a6152414
1258a99765
133381626c
141d477829
15130de848
hexc4351fd

205738493 has 2 divisors, whose sum is σ = 205738494. Its totient is φ = 205738492.

The previous prime is 205738469. The next prime is 205738529. The reversal of 205738493 is 394837502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189392644 + 16345849 = 13762^2 + 4043^2 .

It is a cyclic number.

It is not a de Polignac number, because 205738493 - 28 = 205738237 is a prime.

It is a super-2 number, since 2×2057384932 = 84656655003822098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205738493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205738433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102869246 + 102869247.

It is an arithmetic number, because the mean of its divisors is an integer number (102869247).

Almost surely, 2205738493 is an apocalyptic number.

It is an amenable number.

205738493 is a deficient number, since it is larger than the sum of its proper divisors (1).

205738493 is an equidigital number, since it uses as much as digits as its factorization.

205738493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 205738493 is about 14343.5871733678. The cubic root of 205738493 is about 590.3440423757.

The spelling of 205738493 in words is "two hundred five million, seven hundred thirty-eight thousand, four hundred ninety-three".